Computation of periodic orbits in three-dimensional Lotka-Volterra systems

被引：2

作者：

Navarro, Juan F. ^{[1
]}

Poveda, Ruben ^{[1
]}

机构：

[1] Univ Alicante, Dept Appl Math, Carretera San Vicente Raspeig S-N, Alicante 03690, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

Lotka-Volterra; periodic orbits; Poincare-Lindstedt method; symbolic computation; LINDSTEDT-POINCARE TECHNIQUE;

D O I：

10.1002/mma.4522

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with an adaptation of the Poincare-Lindstedt method for the determination of periodic orbits in three-dimensional nonlinear differential systems. We describe here a general symbolic algorithm to implement the method and apply it to compute periodic solutions in a three-dimensional Lotka-Volterra system modeling a chain food interaction. The sufficient conditions to make secular terms disappear from the approximate series solution are given in the paper.

引用

页码：7185 / 7200

页数：16

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